Helical antiferromagnetic ordering in the lowest Landau level of a semiconductor superlattice

Exact Shape of the Lowest Landau Level in a Double-Layer System and a Superlattice with Uncorrelated Disorder.

We extend Wegner’s exact solution for the 2D density of states at the lowest Landau level with a short–range disorder to the cases of a double–layer system and a superlattice. For the double–layer system, an analytical expression for the density of states, illustrating the interplay between the tunnel splitting of Landau levels and the disorder–induced broadening, is obtained. For the superlatt...

The Electromagnetic Interactions of Electrons in the Lowest Landau Level

Starting from a system of planar electrons in a strong magnetic field normal to the plane, interacting with perturbing electromagnetic fields, an effective Lagrangian for the fermions in the lowest Landau level (L.L.L.) has been derived. By choosing a suitable background electrostatic potential, an incompressible droplet of these electrons is constructed. The gauge invariant effective Lagrangia...

Anyons and Lowest Landau Level Anyons

Intermediate statistics interpolating from Bose statistics to Fermi statistics are allowed in two dimensions. This is due to the particular topology of the two dimensional configuration space of identical particles, leading to non trivial braiding of particles around each other. One arrives at quantum many-body states with a multivalued phase factor, which encodes the anyonic nature of particle...

Interacting electrons in graphene nanoribbons in the lowest Landau level

Why the lowest Landau level approximation works in strongly type

Higher than the lowest Landau level contributions to magnetization and specific heat of superconductors are calculated using Ginzburg Landau equations approach. Corrections to the excitation spectrum around solution of these equations (treated perturbatively) are found. Due to symmetries of the problem leading to numerous cancellations the range of validity of the LLL approximation in mean fiel...